{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bayesian Data Analysis, 3rd ed\n",
    "##  Chapter 5, demo 2\n",
    "\n",
    "Hierarchical model for SAT-example data (BDA3, p. 102)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import norm\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os, sys\n",
    "# add utilities directory to path\n",
    "util_path = os.path.abspath(os.path.join(os.path.pardir, 'utilities_and_data'))\n",
    "if util_path not in sys.path and os.path.exists(util_path):\n",
    "    sys.path.insert(0, util_path)\n",
    "\n",
    "# import from utilities\n",
    "import plot_tools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# edit default plot settings\n",
    "plt.rc('font', size=12)\n",
    "# apply custom background plotting style\n",
    "plt.style.use(plot_tools.custom_styles['gray_background'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# SAT-example data (BDA3 p. 120)\n",
    "# y is the estimated treatment effect\n",
    "# s is the standard error of effect estimate\n",
    "y = np.array([28,  8, -3,  7, -1,  1, 18, 12])\n",
    "s = np.array([15, 10, 16, 11,  9, 11, 10, 18])\n",
    "M = len(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# load the pre-computed results for the hierarchical model\n",
    "# replace this with your own code in Ex 5.1*\n",
    "hres_path = os.path.abspath(\n",
    "    os.path.join(\n",
    "        os.path.pardir,\n",
    "        'utilities_and_data',\n",
    "        'demo5_2.npz'\n",
    "    )\n",
    ")\n",
    "hres = np.load(hres_path)\n",
    "''' Content information of the precalculated results:\n",
    "name  shape      dtype\n",
    "------------------------\n",
    "pxm   (8, 500)   float64\n",
    "t     (1000,)    float64\n",
    "tp    (1000,)    float64\n",
    "tsd   (8, 1000)  float64\n",
    "tm    (8, 1000)  float64\n",
    "'''\n",
    "pxm = hres['pxm']\n",
    "t   = hres['t']\n",
    "tp  = hres['tp']\n",
    "tsd = hres['tsd']\n",
    "tm  = hres['tm']\n",
    "hres.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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QggXbounkasnEYNfrPm9TsjYz5oNJnXlo9WlCPG3wtG/e1WSSdCOQc2ikat3I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9PZpe873FY1N2N66CGMDz2E/vBhtPR0gtdeS/DGG0/a6CuBZuYFwlH+87mDbG8e4rsfrhoZKZyO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cTqRJy8ai7q0reo2K701N5bnNFSweEYfN4+fT4uDswv89Ox21SuKxdaVd649LtXDVmAR+vbKo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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7ab2e276d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the separate, pooled and hierarchical models\n",
    "fig, axes = plt.subplots(3, 1, sharex=True, figsize=(8, 10))\n",
    "x = np.linspace(-40, 60, 500)\n",
    "\n",
    "# separate\n",
    "ax = axes[0]\n",
    "lines = ax.plot(\n",
    "    x,\n",
    "    norm.pdf(x[:,None], y[1:], s[1:]),\n",
    "    color='C0',\n",
    "    linewidth=1\n",
    ")\n",
    "line, = ax.plot(x, norm.pdf(x, y[0], s[0]), color='red')\n",
    "ax.legend(\n",
    "    (line, lines[0]),\n",
    "    ('school A', 'other schools'),\n",
    "    loc='upper left'\n",
    ")\n",
    "ax.set_yticks(())\n",
    "ax.set_title('separate model')\n",
    "ax.set_ylim((0, ax.set_ylim()[1]))  # set y base to zero\n",
    "\n",
    "# pooled\n",
    "ax = axes[1]\n",
    "ax.plot(\n",
    "    x,\n",
    "    norm.pdf(\n",
    "        x,\n",
    "        np.sum(y/s**2)/np.sum(1/s**2),\n",
    "        np.sqrt(1/np.sum(1/s**2))\n",
    "    ),\n",
    "    label='All schools'\n",
    ")\n",
    "ax.legend(loc='upper left')\n",
    "ax.set_yticks(())\n",
    "ax.set_title('pooled model')\n",
    "ax.set_ylim((0, ax.set_ylim()[1]))  # set y base to zero\n",
    "\n",
    "# hierarchical\n",
    "ax = axes[2]\n",
    "lines = ax.plot(x, pxm[1:].T, color='C0',linewidth=1)\n",
    "line, = ax.plot(x, pxm[0], color='red')\n",
    "ax.legend(\n",
    "    (line, lines[0]),\n",
    "    ('school A', 'other schools'),\n",
    "    loc='upper left'\n",
    ")\n",
    "ax.set_yticks(())\n",
    "ax.set_title('hierarchical model')\n",
    "ax.set_xlabel('Treatment effect')\n",
    "ax.set_ylim((0, ax.set_ylim()[1]))  # set y base to zero\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lKNB0Mr27J/Lk+WM5eUwWj3y0muteWUhZVU20yxIREdmrFGg6oaR4P785eRg/PWof3l1U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\nhUKhmGtmo8lpUkqZbjgek1J2HS19LpmPHprsvsMc+sWvcZ/8Hcuee4o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BRcdjNO+we6zE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kGkH+815vcjuhyrfj7gG132eQ54Lep5r9+jvj4bMerQ39ddDRh9lNOf9u1WTtd1/SnL+p57gP/X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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7ab0ca21d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot various marginal and conditional posterior summaries\n",
    "fig, axes = plt.subplots(3, 1, sharex=True, figsize=(8,10))\n",
    "\n",
    "axes[0].plot(t, tp)\n",
    "axes[0].set_yticks(())\n",
    "axes[0].set_title(r'marginal posterior density $p(\\tau|y)$')\n",
    "axes[0].set_ylabel(r'$p(\\tau|y)$')\n",
    "axes[0].set_xlim([0, 35])\n",
    "axes[0].set_ylim([0, axes[0].set_ylim()[1]])\n",
    "\n",
    "lines = axes[1].plot(t, tm[1:].T, color='C0', linewidth=1)\n",
    "line, = axes[1].plot(t, tm[0].T, color='red')\n",
    "axes[1].legend(\n",
    "    (line, lines[1]),\n",
    "    ('school A', 'other schools'),\n",
    "    loc='upper left'\n",
    ")\n",
    "axes[1].set_title(r'conditional posterior means of effects '\n",
    "                  r'$\\operatorname{E}(\\theta_j|\\tau,y)$')\n",
    "axes[1].set_ylabel(r'$\\operatorname{E}(\\theta_j|\\tau,y)$')\n",
    "\n",
    "lines = axes[2].plot(t, tsd[1:].T, color='C0', linewidth=1)\n",
    "line, = axes[2].plot(t, tsd[0].T, color='red')\n",
    "axes[2].legend(\n",
    "    (line, lines[1]),\n",
    "    ('school A', 'other schools'),\n",
    "    loc='upper left'\n",
    ")\n",
    "axes[2].set_title(r'standard deviations of effects '\n",
    "                  r'$\\operatorname{sd}(\\theta_j|\\tau,y)$')\n",
    "axes[2].set_ylabel(r'$\\operatorname{sd}(\\theta_j|\\tau,y)$')\n",
    "axes[2].set_xlabel(r'$\\tau$')\n",
    "\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
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